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Finding the Third Proportional to 44,419 and 58,691

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Solution

The third proportional to 44,419 and 58,691 is: 77,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,419 : 58,691 = 58,691 : x
  2. Step 2: Convert to fraction form
    44,419/58,691 = 58,691/x
  3. Step 3: Cross multiply
    44,419x = 58,691 × 58,691
  4. Step 4: Simplify right side
    44,419x = 3,444,633,481
  5. Step 5: Solve for x
    x = 3,444,633,481/44,419
  6. Step 6: Final answer
    x = 77,548.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.